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Mills' constant

In number theory, Mills' constant is defined as the smallest positive real number A such that the floor function of the double exponential function
${\\displaystyle \\lfloor A^{3^{n}}\ floor }$
is a prime number for all positive natural numbers n. This constant is named after William Harold Mills who proved in 1947 the existence of A based on results of Guido Hoheisel and Albert Ingham on the prime gaps. Its value is unproven, but if the Riemann hypothesis is true, it is approximately 1.3063778838630806904686144926... (sequence A051021 in the OEIS).
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Mills%27_constant)

mathematical constant

prime number

constante de Mills

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RDF/XML TURTLE JSON-LD Date de création 03/08/2023, dernière modification le 18/10/2024

https://en.wikipedia.org/wiki/Mills%27_constant

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https://fr.wikipedia.org/wiki/Constante_de_Mills

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